2542602640 has 80 divisors (see below), whose sum is σ = 6206031360. Its totient is φ = 967495680.

The previous prime is 2542602619. The next prime is 2542602653. The reversal of 2542602640 is 462062452.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137632 + ... + 155008.

It is an arithmetic number, because the mean of its divisors is an integer number (77575392).

Almost surely, 2^2542602640 is an apocalyptic number.

2542602640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542602640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103015680).

2542602640 is an abundant number, since it is smaller than the sum of its proper divisors (3663428720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2542602640 is a wasteful number, since it uses less digits than its factorization.

2542602640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17480 (or 17474 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 2542602640 is about 50424.2267169265. The cubic root of 2542602640 is about 1364.8748497656.

The spelling of 2542602640 in words is "two billion, five hundred forty-two million, six hundred two thousand, six hundred forty".